13 research outputs found
Effect of cross-diffusion on the stationary problem of a prey–predator model with a protection zone
AbstractThis paper is concerned with the stationary problem of a prey–predator cross-diffusion system with a protection zone for the prey. We discuss the existence and non-existence of coexistence states of the two species by using the bifurcation theory. As a result, it is shown that the cross-diffusion for the prey has beneficial effects on the survival of the prey when the intrinsic growth rate of the predator is positive. We also study the asymptotic behavior of positive stationary solutions as the cross-diffusion coefficient of the prey tends to infinity
Suri seibutsugaku ni arawareru hanno kakusankei no seichi teijokai ni tsuite
制度:新 ; 報告番号:甲3451号 ; 学位の種類:博士(理学) ; 授与年月日:2011/10/27 ; 早大学位記番号:新577